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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 8048.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
8048.k1 | 8048h1 | \([0, 0, 0, -2155, -38758]\) | \(-270212594625/2060288\) | \(-8438939648\) | \([]\) | \(11520\) | \(0.73459\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8048.k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 8048.k do not have complex multiplication.Modular form 8048.2.a.k
sage: E.q_eigenform(10)